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Finding the Third Proportional to 235,304 and 555,032

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Solution

The third proportional to 235,304 and 555,032 is: 1,309,202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,304 : 555,032 = 555,032 : x
  2. Step 2: Convert to fraction form
    235,304/555,032 = 555,032/x
  3. Step 3: Cross multiply
    235,304x = 555,032 × 555,032
  4. Step 4: Simplify right side
    235,304x = 308,060,521,024
  5. Step 5: Solve for x
    x = 308,060,521,024/235,304
  6. Step 6: Final answer
    x = 1,309,202.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.